0000000000156839

AUTHOR

Mugur Acu

The radius of starlikeness of the certain classes of p-valent functions defined by multiplier transformations

The aim of this paper is to give the radius of starlikeness of the certain classes of -valent functions defined by multiplier transformations. The results are obtained by using techniques of Robertson (1953,1963) which was used by Bernardi (1970), Libera (1971), Livingstone (1966), and Goel (1972).

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Certain subclasses of multivalent analytic functions defined by multiplier transforms

By making use of the principle of subordination between analytic functions and a family of multiplier transforms, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships, subordination and superordination properties, integral-preserving properties, argument estimates and convolution properties are proved.

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Starlikeness Condition for a New Differential-Integral Operator

A new differential-integral operator of the form I n f ( z ) = ( 1 &minus

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q–analogue of generalized Ruschweyh operator related to a new subfamily of multivalent functions

Abstract A new subfamily of p–valent analytic functions with negative coefficients in terms of q–analogue of generalized Ruschweyh operator is considered. Several properties concerning coefficient bounds, weighted and arithmetic mean, radii of starlikeness, convexity and close-to-convexity are obtained. A family of class preserving integral operators and integral representation are also indicated.

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A remarkable equality referring to spline functions in Hilbert spaces

In the introduction of this paper is presented the definition of the generalized spline functions as solutions of a variational problem and are shown some theorems regarding to the existence and uniqueness. The main result of this article consists in a remarkable equality verified by the generalized spline elements, based on the properties of the spaces, operator and interpolatory set involved, which can be used as a characterization theorem of the generalized spline functions in Hilbert spaces.

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Notes on certain p-valent functions

Abstract Let Ap be the class of functions f(z) which are analytic in the open unit disk U. Applying some subordinations for functions, some interesting properties for f(z) ∈Ap are showed. Our results are generalizations for results given before.

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On some close to convex functions with negative coefficients

In this paper we propose for study a class of close to convex functions with negative coefficients defined by using a modified Salagean operator. .

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